A hot air balloon is a sphere of radius 8 m. The air inside is at temperature of 60°C . How large a mass can the balloon lift when the outside temperature is 20°C . ( Assume that the air is an ideal gas ,R = 8.314 J mole^-1K^-1 , atm = 1.013×10⁵ Pa; the membrane tension is 5N/m ).
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